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elena55 [62]
3 years ago
6

if you deposit $4500 at 5% annual interest compounded quarterly, how much money will be in the account after 10 years?

Mathematics
1 answer:
melomori [17]3 years ago
5 0
<span>$7,396.29 is your Answer for the quarterly compounded interest of $4,500.

</span>

<span>A = P (1 + r/n)<span> (nt)</span></span>

Where:

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

<span>

</span>
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What is the maximum number of possible extreme values for the function,<br> f(x) = х2 -7x – 6?
timama [110]

Answer:

Only one extreme value of f(x) is possible.

Step-by-step explanation:

We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)

Now. the condition for extreme values of f(x) is \frac{df(x)}{dx} =0

Hence, differentiating both sides of equation (1) with respect to x, we get

\frac{df(x)}{dx} = 2x -7 = 0

⇒ x = 3.5.

So there is only one value of x for which f(x) has extreme value which is x = 3.5.

Therefore, only one extreme value of the given function is possible. (Answer)

3 0
3 years ago
Assume that the random variable X is normally distributed, with mean ? = 50 and standard deviation ? = 7. Compute the following
sineoko [7]

Answer:

Step-by-step explanation:

Given that  the random variable X is normally distributed, with

mean  = 50 and standard deviation  = 7.

Then we have z= \frac{x-50}{7} is N(0,1)

Using this and normal table we find that

a) P(56

b) When z=0.02

we get

x=50+0.02(7)=50.14

c) 90th percentile z value =1.645

90th percentile of X =50+7(1.645)\\= 50+11.515\\=61.515

4 0
3 years ago
What is the solution i need it fast!!!
zloy xaker [14]

Answer:

<u>x < 3</u>

Step-by-step explanation:

<em>~Hope this answers your question!~</em>

4 0
3 years ago
A friend wants to buy a pool and has two places she wants to purchase the pool with the largest volume which pool should she buy
slamgirl [31]

Answer:

20'×15 in 54 inches

Step-by-step explanation:

The Best as a pool should be rectangular in shape and 54inches deep for safety of life's

7 0
3 years ago
adult tickets to a play cost $22. tickets for children cost $15. tickets for a group of 11 people cost a total of $228. write an
Tom [10]

Adults = 9

Children = 2


Let x be the number of adults.

11-x is the number of children.


22x + 15(11-x) = 228

22x + 165 - 15x = 228

22x - 15x = 228 - 165

7x = 63

7x / 7 = 63 / 7

x = 9  number of adults.


11 - x = 11 - 9 = 2 number of children.


To check:


22x + 15(11-x) = 228

22(9) + 15(11-9) = 228

198 + 30 = 228

228 = 228


(not my answer btw)

3 0
3 years ago
Read 2 more answers
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